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Sr-85 shielding — lead half-value layer and dose rate

Strontium-85

Sr-85 · Strontium, Z = 38, A = 85

At 8.77e+14 Bq/g — 2.37e+4 Ci/g — a gigabecquerel of Sr-85 amounts to 1.14 µg, which is why activity rather than mass is how anyone states the quantity. Strontium-85 decays by electron capture with a half-life of 64.849 days, falling to 72.57% of today's activity in a month and 2.02% in a year.

1 GBq at 1 m reads 0.0669 mGy/h, and 1 Ci at the same distance 2.48 mGy/h, from an air kerma rate constant of 0.0669 mGy·m²/(GBq·h) — 1.2× less than Cs-137 and 4.6× less than Co-60, and 33 of 96 among the photon emitters carried here.

4 lines clear the 20 keV cutoff, but one of them carries 90% of the dose rate. The leading one is 514.0 keV at 100.0% of the total — its emission probability is 95.712%, which is also the highest.

Halving the air kerma rate calls for 3.93 mm of lead, or 10.6 mm of steel where lead is unwelcome, and a factor of ten calls for 13.1 mm of lead — sheet thicknesses that a glovebox or a transport container can carry. Reaching 20 µSv/h from 1 GBq at a metre takes 6.86 mm of lead.

Half-life, specific activity and dose rate

Half-life64.849 days (5.603e+6 s)
Decay modeelectron capture
Specific activity8.77e+14 Bq/g (2.37e+4 Ci/g)
Air kerma rate constant Γ (δ = 20 keV)0.0669 mGy·m²/(GBq·h)
Dose rate, 1 GBq at 1 m0.0669 mGy/h
Dose rate, 1 Ci at 1 m2.48 mGy/h
Kerma-weighted mean photon energy514.1 keV

514 keV carries 100% of the dose rate

6 further lines below the 20 keV cutoff, the highest at 15.19 keV and 70.7% emission probability in all, are excluded here and from Γ. Why the two columns rank differently.

Energy (keV)Emission probability (%)Share of dose rate (%)
514.0095.71299.98
868.060.0120.02
362.820.001370.00
151.180.001150.00

3.93 mm of lead halves this spectrum

Solved numerically across all 4 lines, narrow beam. Why not one representative energy.

MaterialHVL (mm)TVL (mm)TVL / HVL
lead3.9313.13.32
tungsten2.708.973.32
iron10.635.23.32
copper9.3831.23.32
concrete34.21143.32
water72.42413.32
aluminum30.81023.32

A single energy would give 3.32. What a spread of energies does instead.

Activity over months and years

Ten half-lives is 1.78 years — a storage problem rather than a disposal one, with 2.02% of today's activity still there after a year. The mean life 1/λ is 93.6 days.

ElapsedFraction remaining
1 half-life50.0 %
2 half-lives25.0 %
5 half-lives3.13 %
10 half-lives0.0977 %
Time to fall to 10 % of today's activity215 days
Time to fall to 1 %1.18 years
Time to fall to 0.1 %1.77 years

Limits of these dose rates

Gamma and decay calculators for Sr-85

Other Strontium nuclides: Sr-85m, Sr-89, Sr-90

Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.